• 대한수학회지
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• 제34권2호
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• pp.345-370
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• 1997

In this paper, we introduce the Fock representation $U^{F, M}$ of the Heisenberg group $H_R^(g, h)$ associated with a positive definite symmetric half-integral matrix $M$ of degree h and prove that $U^{F, M}$ is unitarily equivalent to the Schrodinger representation of index $M$.

• Kyungpook Mathematical Journal
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• 제45권3호
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• pp.303-338
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• 2005

In this paper, we study unitary representations of the group $GL(n,{\mathbb{R}}){\ltimes}{\mathbb{R}}^{(m,n)}$.

• 대한수학회논문집
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• 제34권1호
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• pp.27-41
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• 2019

We determine explicit formulas for the number of representations of a positive integer n by quaternary quadratic forms with coefficients 1, 2, 5 or 10. We use a modular forms approach.

• 경영과학
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• 제14권1호
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• pp.205-227
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• 1997

Higher level representation splay an important role in model management systems. The role is to make decision makers friendly represent their problem using the representations. In this research, we address higher level representations including five distinctivenesses: Objective, Node, Link, Topological Constraint including five components, and Decision, Therefore, it is developed a system called HLRNET that implements the building procedure of network models using structural knowledge and object data The paper particularly elaborates all components included in each of distinctiveness extracted from structural characteristics of a lot of telecommunication network models. Higher level representations represented with five destinctivenesses should be converted into base level representations which are employed for semantic representations of linear and integer programming problems in a knowledge-assisted optimization modeling system. The system is illustrated with an example of the local access network model.

• 아동학회지
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• 제29권3호
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• pp.157-174
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• 2008

This study used the person-oriented approach to explore differences in narrative representations of 97 4-, 5- and 6-year old children (30 foster care, 40 biological family, 17 adopted). Using the MacArthur Story Stem Battery (Bretherton et al., 1990), observations were made to obtain children's narrative representations of content themes and performances. Descriptive statistics, ANOV A and hierarchical cluster analyses were performed. The results of this study were that : (1) Biological family children showed more empathy/helping representations. Foster care children and adopted children showed more anxious representations, and foster care children showed more dysregulated aggression. (2) Four clusters of foster care and adopted children and five clusters of family biological children were found.

• East Asian mathematical journal
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• 제31권1호
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• pp.41-53
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• 2015

A large number of series and integral representations for the Stieltjes constants (or generalized Euler-Mascheroni constants) ${\gamma}_k$ and the generalized Stieltjes constants ${\gamma}_k(a)$ have been investigated. Here we aim at presenting certain integral representations for the generalized Stieltjes constants ${\gamma}_k(a)$ by choosing to use four known integral representations for the generalized zeta function ${\zeta}(s,a)$. As a by-product, our main results are easily seen to specialize to yield those corresponding integral representations for the Stieltjes constants ${\gamma}_k$. Some relevant connections of certain special cases of our results presented here with those in earlier works are also pointed out.

• 아동학회지
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• 제25권6호
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• pp.153-170
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• 2004

This study explored age and sex differences in preschoolers' narrative representations of their mothers. Subjects were 120 3-, 4-, 5- and 6-year-old children, with 15 boys and 15 girls in each age group. Using the MacArthur Story Stem Battery(Bretherton et al., 1990), observations were made to obtain children's narrative representations of their mothers. content themes and emotional responses. Boys' representations were more negative and less positive than girls' regardless of their age. Boys talked about more aggressive themes and showed more anxiety and less joy. Five and 6-year-old children had less negative and disciplinary representations of their mothers than 3- and 4-year-olds. Six-year-olds showed less prosocial themes than 3- and 5-years, and fewer aggressive themes than 3-and 4-year while they showed less joy, distress and concern responses than 3-years.

• 대한수학교육학회지:수학교육학연구
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• 제8권2호
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• pp.651-662
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• 1998

Mathematics is means for making sense of one's experiential world and products of human activities. A usefulness of mathematics is derived from this features of mathematics. Keeping the meaning of situations during the mathematizing of situations. However, theories about the development of mathematical concepts have turned mainly to an understanding of invariants. The purpose of this study is to show the possibility of computer in representing situation and phenomena. First, we consider situated cognition theory for looking for the relation between various representation and situation in problem. The mathematical concepts or model involves situations, invariants, representations. Thus, we should involve the meaning of situations and translations among various representations in the process of mathematization. Second, we show how the process of computational mathematization can serve as window on relating situations and representations, among various representations. When using computer software such as ALGEBRA ANIMATION in mathematics classrooms, we identified two benifits First, computer software can reduce the cognitive burden for understanding the translation among various mathematical representations. Further, computer softwares is able to connect mathematical representations and concepts to directly situations or phenomena. We propose the case study for the effect of computer software on practical mathematics classrooms.

• Journal of Information Processing Systems
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• 제19권3호
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• pp.355-369
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• 2023

Since the widespread adoption of deep-learning and related distributed representation, there have been substantial advancements in part-of-speech (POS) tagging for many languages. When training word representations, morphology and shape are typically ignored, as these representations rely primarily on collecting syntactic and semantic aspects of words. However, for tasks like POS tagging, notably in morphologically rich and resource-limited language environments, the intra-word information is essential. In this study, we introduce a deep neural network (DNN) for POS tagging that learns character-level word representations and combines them with general word representations. Using the proposed approach and omitting hand-crafted features, we achieve 90.47%, 80.16%, and 79.32% accuracy on our own dataset for three morphologically rich languages: Uyghur, Uzbek, and Kyrgyz. The experimental results reveal that the presented character-based strategy greatly improves POS tagging performance for several morphologically rich languages (MRL) where character information is significant. Furthermore, when compared to the previously reported state-of-the-art POS tagging results for Turkish on the METU Turkish Treebank dataset, the proposed approach improved on the prior work slightly. As a result, the experimental results indicate that character-based representations outperform word-level representations for MRL performance. Our technique is also robust towards the-out-of-vocabulary issues and performs better on manually edited text.

• 대한화학회지
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• 제56권6호
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• pp.759-767
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• 2012

이 연구의 목적은 탐구적 과학 글쓰기(SWH) 프로그램이 학생들의 글쓰기에서 나타난 다중 표상에 미치는 영향 및 다중 표상에 대한 학생들의 인식을 알아보기 위한 것이다. 이 연구는 광역시에 위치한 남녀공학 중학교 1학년 학생들을 대상으로 3개 학급 94명의 학생을 실험집단으로, 2개 학급 64명의 학생을 비교집단으로 선정하여 수행하였다. 실험집단은 총 8개 주제의 탐구적 과학 글쓰기 프로그램을 수행하였고, 비교집단은 같은 기간 동안 전통적인 실험수업을 수행하였다. 학생들이 작성한 요약 글쓰기에서 나타난 다중 표상을 분석한 결과, 실험집단의 평균이 비교집단에 비해 통계적으로 유의미하게 높은 것으로 나타났다. 프로그램에 참여한 학생들의 다중 표상에 대한 인식 조사에서 모든 학생들이 개념에 대한 자신의 생각을 표현 하는데 있어서 다중 표상의 필요성과 효과를 인지하고 있었다. 그러나 실제 다중 표상을 사용하는 수준에는 차이가 있으며 이는 다중 표상 사용에 대한 이해와 연관이 있는 것으로 나타났다.